1D44 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1D44 to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 1D44 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1D44 by 16⁰, multiply the second to last digit in 1D44 by 16¹, multiply the third to last digit in 1D44 by 16², multiply the fourth to last digit in 1D44 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
4 × 16¹ = 64
D × 16² = 3328
1 × 16³ = 4096

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

4 + 64 + 3328 + 4096 = 7492

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

7492 ÷ 2 = 3746 with 0 remainder
3746 ÷ 2 = 1873 with 0 remainder
1873 ÷ 2 = 936 with 1 remainder
936 ÷ 2 = 468 with 0 remainder
468 ÷ 2 = 234 with 0 remainder
234 ÷ 2 = 117 with 0 remainder
117 ÷ 2 = 58 with 1 remainder
58 ÷ 2 = 29 with 0 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to 1D44 hexadecimal to binary:

1D44 hexadecimal = 1110101000100 binary

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1D45 hexadecimal to binary
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